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Finding the Fourth Proportional to 581.76, 802.08 and 452.16

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Solution

The fourth proportional to 581.76, 802.08 and 452.16 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 802.08 = 452.16 : x
  2. Step 2: Convert to fraction form
    581.76/802.08 = 452.16/x
  3. Step 3: Cross multiply
    581.76x = 802.08 × 452.16
  4. Step 4: Simplify right side
    581.76x = 362,668.49
  5. Step 5: Solve for x
    x = 362,668.49/581.76
  6. Step 6: Final answer
    x = 623.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.